Results 151 to 160 of about 5,579,561 (370)
The continuum random tree is the scaling limit of unlabelled unrooted trees [PDF]
arXiv, 2014 We prove that the uniform unlabelled unrooted tree with n vertices and vertex degrees in a fixed set converges in the Gromov-Hausdorff sense after a suitable rescaling to the Brownian continuum random tree. This proves a conjecture by Aldous. Moreover, we establish Benjamini-Schramm convergence of this model of random trees.
arxiv
The Annals of Probability, 1991 Let $(\mathscr{R}(k), k \geq 1)$ be random trees with $k$ leaves, satisfying a consistency condition: Removing a random leaf from $\mathscr{R}(k)$ gives $\mathscr{R}(k - 1)$. Then under an extra condition, this family determines a random continuum tree $\mathscr{L}$, which it is convenient to represent as a random subset of $l_1$.
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Limits of Random Trees. II [PDF]
Acta Mathematica Hungarica, 2014 Local convergence of bounded degree graphs was introduced by Benjamini and Schramm. This result was extended further by Lyons to bounded average degree graphs. In this paper we study the convergence of random tree sequences with given degree distributions. Denote by ${\cal D}_n$ the set of possible degree sequences of a tree on $n$ nodes.
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Crystal Structure Prediction of Cs–Te with Supervised Machine Learning
Advanced Theory and Simulations, EarlyView.High‐throughput density functional theory calculations combined with machine learning models are employed to predict stable Cs– Te binary crystals. By systematically evaluating various structural descriptors and learning algorithms, the superiority of models based on atomic coordination environments is revealed.
Holger‐Dietrich Saßnick +1 more
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Developent of stem taper equation using nonlinear mixed-effects modeling approach for Taurus fir
Turkish Journal of Forestry, 2018 The Max and Burkhart segmented taper equation was fitted using nonlinear mixed-effects modeling techniques to account for within- and between-individual variation in Taurus fir (Abies cilicica Carr.) stem profiles.
Ramazan Özçelik, Emine Yiğit
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On the encipherment of search trees and random access files [PDF]
, 1975 Raymond Bayer +2 more
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SyMO: A Hybrid Approach for Multi‐Objective Optimization of Crystal Growth Processes
Advanced Theory and Simulations, EarlyView.The hybrid SyMO (Symbolic regression Multi‐objective Optimization) framework combines Computational Fluid Dynamics (CFD), machine learning, and mathematical optimization techniques to investigate the effects of various process parameters, furnace geometries, and radiation shield material properties on key crystal quality metrics in Czochralski silicon (
Milena Petkovic, Natasha Dropka
wiley +1 more source
Advanced Science, EarlyView.The present study constructs machine‐learning models to resolve developmental relationships among auditory performance, auditory cortical processing, and functional connectivity of the bilateral language network during the first year of restored hearing. The results demonstrate that asymmetric inter‐hemisphere communication contributes significantly to
Xue Zhao +6 more
wiley +1 more source
Random labelled trees and their branching networks [PDF]
, 1980 Geoffrey Grimmett
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Random recursive trees and the elephant random walk [PDF]
Physical Review E, 2016 One class of random walks with infinite memory, so called elephant random walks, are simple models describing anomalous diffusion. We present a surprising connection between these models and bond percolation on random recursive trees. We use a coupling between the two models to translate results from elephant random walks to the percolation process. We
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